When it comes to numbers, there are various classifications that help us understand their properties and relationships. One such classification is that of **rational numbers**. In this article, we will delve into the concept of rational numbers, explore what qualifies as a rational number, and provide examples to illustrate these concepts.

**Contents**show

## What are Rational Numbers?

Rational numbers are numbers that can be expressed as a ratio of two integers, where the denominator is not zero. In other words, a rational number is any number that can be written in the form a/b, where a and b are integers and b is not equal to zero. This includes integers, fractions, and decimals that either terminate or repeat.

## Which of the Following is a Rational Number?

Now that we understand the definition of rational numbers, let’s explore some **examples **to determine which of the following numbers qualify as rational:

### 1. 5

- 5 can be expressed as 5/1, where 5 and 1 are integers. Therefore, 5 is a rational number.

### 2. 0.75

- 0.75 can be written as 3/4, where 3 and 4 are integers. Thus, 0.75 is a rational number.

### 3. √2

- √2 is an irrational number, as it cannot be expressed as a ratio of two integers.

### 4. -3

- -3 can be written as -3/1, where -3 and 1 are integers. Therefore, -3 is a rational number.

## Examples of Rational Numbers

Let’s explore some more examples of rational numbers to solidify our understanding:

### 1. 2/3

- 2/3 is a fraction where both 2 and 3 are integers. Hence, 2/3 is a rational number.

### 2. 0.6

- 0.6 can be expressed as 6/10, where 6 and 10 are integers. Therefore, 0.6 is a rational number.

### 3. -4

- -4 can be written as -4/1, where -4 and 1 are integers. Thus, -4 is a rational number.

## Real-World Applications of Rational Numbers

Rational numbers play a crucial role in various real-world applications, such as:

### 1. Measurements

- Length, weight, volume, and other measurements are often expressed as rational numbers.

### 2. Money

- Currency values, prices, and financial transactions involve rational numbers.

### 3. Cooking

- Recipes often require measurements that are rational numbers, such as 1/2 cup of flour or 3/4 teaspoon of salt.

## Conclusion

In conclusion, rational numbers are an essential part of mathematics and have numerous real-world applications. By understanding the definition of rational numbers and being able to identify which numbers qualify as rational, we can enhance our mathematical knowledge and problem-solving skills. Remember, any number that can be expressed as a ratio of two integers is considered a rational number.

## Q&A

### 1. What is the definition of a rational number?

A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not zero.

### 2. Are all integers rational numbers?

Yes, all integers can be expressed as a ratio of the integer itself to 1, making them rational numbers.

### 3. Can irrational numbers be written in decimal form?

Yes, irrational numbers can be written in decimal form, but they do not terminate or repeat.

### 4. How do you determine if a number is rational?

To determine if a number is rational, check if it can be expressed as a ratio of two integers where the denominator is not zero.

### 5. What are some real-world applications of rational numbers?

Rational numbers are used in measurements, money, cooking, and various other real-world scenarios.

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